Atkin-Lehner |
2- 7- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
126616p |
Isogeny class |
Conductor |
126616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3379200 |
Modular degree for the optimal curve |
Δ |
2.130763906746E+19 |
Discriminant |
Eigenvalues |
2- 2 -3 7- 4 3 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-770737,-135778971] |
[a1,a2,a3,a4,a6] |
Generators |
[-201336:5279799:512] |
Generators of the group modulo torsion |
j |
1681181858378752/707468530181 |
j-invariant |
L |
8.7908138670276 |
L(r)(E,1)/r! |
Ω |
0.16729239256506 |
Real period |
R |
6.5684501502177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999299651 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18088i1 |
Quadratic twists by: -7 |